106535088 has 240 divisors, whose sum is σ = 350977536. Its totient is φ = 31000320.

The previous prime is 106535087. The next prime is 106535101. The reversal of 106535088 is 880535601.

It is a super-2 number, since 2×106535088² = 22699449950335488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106535081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2010070 + ... + 2010122.

Almost surely, 2^106535088 is an apocalyptic number.

106535088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106535088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768).

106535088 is an abundant number, since it is smaller than the sum of its proper divisors (244442448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106535088 is a wasteful number, since it uses less digits than its factorization.

106535088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 106535088 is about 10321.5835994289. The cubic root of 106535088 is about 474.0573556616.

The spelling of 106535088 in words is "one hundred six million, five hundred thirty-five thousand, eighty-eight".